Pith Number

pith:JTK7OIOB

pith:2017:JTK7OIOBSKB6GDZCVGXFCQ6ORX

not attested not anchored not stored refs pending

Almost Gorenstein Hibi rings

Mitsuhiro Miyazaki

arxiv:1705.07630 v1 · 2017-05-22 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTK7OIOBSKB6GDZCVGXFCQ6ORX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:44:04.976657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cd5f721c19283e30f22a9ae5143ce8dffa17514e9c1fb5bb75d614eba5dc658

Aliases

arxiv: 1705.07630 · arxiv_version: 1705.07630v1 · doi: 10.48550/arxiv.1705.07630 · pith_short_12: JTK7OIOBSKB6 · pith_short_16: JTK7OIOBSKB6GDZC · pith_short_8: JTK7OIOB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JTK7OIOBSKB6GDZCVGXFCQ6ORX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4cd5f721c19283e30f22a9ae5143ce8dffa17514e9c1fb5bb75d614eba5dc658

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d929159eaf5e830b1290b128892aa8bd72ef0e598ce343fd8bfd61fff778953",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-05-22T09:40:08Z",
    "title_canon_sha256": "0b3f50af4ab4c3142f2ee24e5045eb0f0337aa5cf4f829d2c8a2d6a2600bebbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07630",
    "kind": "arxiv",
    "version": 1
  }
}